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2015 > 2016
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... 71 . 71 & 72 . 74 .. 75 .. 76 ... 76 .. 76 & .. 77 .... 78 .... 78 ..... 78 - ... 78 Erasmus+ .. 81 & . 82 (UPnet) .. 83 e-University . 84 e-Class 84 ... 85 @up .. 85 86 .. 86 ... 87 .... 87 .... 87 .. 87 . 88 ... 88 .. 89 .... 89 .. 90 92 - 93 .. 95 100 & 105
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( ), ( ), ( ), . , ( -) .
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. University of Utrecht, MSc University of Utrecht, University of Amsterdam. - / - / .
- . , MSc University of Manchester, - . .
. -, . .
. , DEA Universit Paul Sabatier - Toulouse III, Doctorat 3me Cycle Universit Paul Sabatier - Toulouse III. .
. Dartmouth College, MSc University of Rochester, University of Rochester. - - .
. - , DEA Universit Pierre & Marie Curie - PARIS VI, Doctorat 3me Cycle Universit Pierre & Marie Curie - PARIS VI, Clarkson University. - .
. Universit des Sciences et Techniques du Languedoc Montpellier, DEA Universit de Bour-gogne Dijon, Doctorat 3me Cycle Universit de Bour-gogne Dijon, Vrije Universiteit Amster-dam. .
. , . - - .
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. - , MSc University of Rochester, University of Rochester. .
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. - , Doctorat 3me Cycle Universit Paul Sabatier - Toulouse III, Steklov Mathema-tical Institute, St. Petersburg. -.
. , DEA Universit Pierre & Marie Curie - PARIS VI, Doctorat 3me Cycle Universit Pierre & Marie Curie - PARIS VI. .
. , . .
. , MSc Univer-sity of Chicago, University of California, Berkeley. .
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. , Aarhus University. .
-DOWNS . , MSc Univer-sity of Reading, University of Southampton. .
. , DEA Univer-sit Paris Diderot - PARIS VII, - . .
. , - . - .
2015-16
w w w . m a th . u p a tr a s . g r
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. - , DEA Universit Pierre & Marie Curie - PARIS VI, Doctorat Universit Pierre & Marie Curie - PARIS VI. . . , - , - . .
. - , MSc McGill University, Rutgers University. - .
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. - , DEA Universit Pierre & Marie Curie - PARIS VI, Doctorat Universit Paris-Sud - PARIS XI. -.
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w w w . m a th . u p a tr a s . g r
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- 2610/962632, 2610/962633 2610/962635 . - , . , - - https://my.math.upatras.gr. .... -, , - . -, - , . . : , . 2610/996748
2610/996762. https://my.math.upatras.gr
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w w w . m a th . u p a tr a s . g r
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, - , . - . a)
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b) , - , , , , (8). , - - ( ). , - , .
, - http://academicid.minedu.gov.gr . , - (@upnet.gr) . , () , .. - , ,
. - - , - . , - / .
, .., : https://progress.upatras.gr/
2015-2016 , https://eadmin.math.upatras.gr/uni/upatras/math/index.jsp
2000-2014. : ,
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@student.math.upatras.gr email (@student.math.upatras.gr). : - - / & ( B/M 0.35-0.36, 0.15 0.39-0.40), e-Class (), WiFi FTP . , , - . , ( , - 2015-2016 , email @upnet.gr email ).
21 & 22 .4332/2015 ( 76 . 09.07.2015) .. 143456/1 ( 2011 . 16.09.2015). ' .... .
/ -, ... , ....., ( ......)
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w w w . m a th . u p a tr a s . g r
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, . -, , . , , - , , : mod n, . , : , . , , , , . . : , , , , . -: NN, , - . : , , (0) (20) /. . . - - (30) - (10) . - -. . . -, . . , - .
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, - , , : , - , 26504 , 1 15 . 1 20 -. - (10) . : /, 152, . 2610/99-6735, fax: 2610/99-7307
19
'- () , . '- . - , .. - , , , , - ( , ) . , , . - . .. . . '- (3) . - : (i) 1 -, (ii) , (iii) . , . - , , ' . . , .
- (.. , , ..), . . , . - . - .
, :
- .
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( ).
w w w . m a th . u p a tr a s . g r
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- - . . - , . , - . - , , . . , , , , , .. / . / - , , , - . , . 20132014, , - , (...) - : i) ( ),
, ,
ii) ( ), , - .
(36) , ..., , - , (19) - (17) . (). ... (5) - (). , ... . -, -. . - (3) . - 5 , 4 6 . , 4 -
21
( ). , , . - , - -.
. ( ), , (13) - , , (2) (3) -. 1 31 . - . . . - . ( - 2015-2016 ). , - . , , . - :
- (). , , , - .
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, , - (. -).
w w w . m a th . u p a tr a s . g r
22
(..). .. - . , , , (ECTS). (ECTS) . ECTS , ,
1o
2o
3o
4o
5o
6o
7o
8o
= , = , ECTS
. , , , . 60 - ECTS ( - 1500-1800 ). - , 240 ECTS. () , -, . , . - , 8 ECTS , 7, , , 6 ECTS . , - , - (: 138 ECTS), ( 1). ( ) , (). ,
K/7 K/8 K/7 K/8
K/7 K/8 K/8 K/7
K/7 K/8 K/8 K/7
K/6 K/6 E/6 E/6 E/6
K/7 K/7 K/8 K/8
K/6 E/6 E/6 E/6 E/6
E/6 E/6 E/6 E/6 E/6
E/6 E/6 E/6 E/6 E/6
23
(), . , - . - , - (), - ( 2, 2, 2 2). 6 ECTS -. ( -), , - () ( 3). - , . () , () , - 54 - (: 9 x 6 ECTS). , ( ), -, . , - . 2015-2016 4 ( , ). 12 ECTS (8 ) -. , () .
. , - . - ( ), . , - (8 ), , , , - , .
w w w . m a th . u p a tr a s . g r
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1.
ECTS PM101 3 2 6 7 1 ,
PM102 3 2 6 8 1 ,
IC102 FORTRAN
3 2 5 7 1 ,
PM103 3 2 6 8 1 , IC101 Python 3 1 1 5 7 2 ,
PM104 3 2 6 8 2 , ,
PM105 3 2 6 8 2 , IC103 3 2 5 7 2 , .
IC204 3 1 1 5 7 3 , ST201 3 2 5 8 3 , PM106 3 2 5 8 3 , AM201 3 2 5 7 3 ,
PM207 3 2 5 6 4 , AM202 IV 3 2 5 6 4 , PM308 3 2 5 7 5 , AM303 3 2 5 7 5 ,
PM309 3 2 5 8 5 , ST302 3 2 5 8 5 , PM310 3 2 5 6 6 ,
25
2.
ECTS
PM231 2 2 4 6 4 PM332 2 2 4 6 6 PM333 2 2 4 6 6 - PM434 2 2 4 6 7 PM435 2 2 4 6 7 PM436 2 2 4 6 7 PM437 2 2 4 6 7 PM438 2 2 4 6 8
w w w . m a th . u p a tr a s . g r
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2.
ECTS
AM231 . . 2 2 4 6 4
AM232 2 2 4 6 4 AM333 2 2 4 6 6 AM434 2 2 4 6 7 AM435 2 2 4 6 7 AM436 2 2 4 6 7
AM437 2 2 4 6 8 AM438 Fourier, 2 2 4 6 8
27
2. &
ECTS
IC231 2 2 4 6 4 IC232 2 2 4 6 4 IC233 2 2 4 6 4 - IC335 . 2 2 4 6 6 IC334 2 2 4 6 7 IC336 2 2 4 6 7 IC437 2 2 4 6 7 IC438 2 2 4 6 8 . -
w w w . m a th . u p a tr a s . g r
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2. ., .
ECTS
ST231 2 2 4 6 4 - ST332 2 2 4 6 6 ST333 2 2 4 6 6 - ST434 2 1 1 4 6 7
ST435 2 2 4 6 7 ST436 2 2 4 6 7 ST437 2 2 4 6 8 ST438 2 2 4 6 8
29
3.
ECTS
PM231 2 2 4 6 4
PM435 2 2 4 6 7 PM436 2 2 4 6 7 PM437 2 2 4 6 7
AM232 2 2 4 6 4 AM333 2 2 4 6 6 AM435 2 2 4 6 7 AM436 2 2 4 6 7
IC231 2 2 4 6 4 IC232 2 2 4 6 4 IC335 . . 2 2 4 6 6
IC336 2 2 4 6 7
ST231 2 2 4 6 4 - ST332 2 2 4 6 6
ST333 2 2 4 6 6 - ST434 2 1 1 4 6 7
DI231 2 2 4 6 4 -
DI432 2 2 4 6 7 DI463 2 2 4 6 7 DI434 . . & . 2 2 4 6 8 -Downs
() , () . w w w . m a th . u p a tr a s . g r
30
4o
6o
7o
8o
, , , .
, , 3 4 1 8, ..
31
4.
ECTS
09263 4 4 6 4
AM262 2 2 4 6 6
AM263 2 2 4 6 6
DI361 2 2 4 6 6
ST361 2 1 1 4 6 6
IC362 2 2 4 6 6
PM463 2 2 4 6 7
AM464 2 2 4 6 7
AM465 2 2 4 6 7
AM466 2 2 4 6 7
ST462 2 2 4 6 7 . - .
ST463 2 2 4 6 7 /
IC463 2 2 4 6 7
IC361 2 2 4 6 7
09461 - 2 2 4 6 7
PM464 2 2 4 6 8
AM469 2 2 4 6 8
AM468 2 2 4 6 8
AM467 2 2 4 6 8
DI465 2 2 4 6 8
ST464 2 2 4 6 8
ST465 2 2 4 6 8
IC464 2 2 4 6 8
09462 - 2 2 4 6 8
11461 8 12 7-8
w w w . m a th . u p a tr a s . g r
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I) (17)
(5) (. . 42). II) -
ERASMUS, , .. , (. . 81).
36
19
17
8
9
1
( . 42)
2
( , . 42)
33
& ... (4) (5) (20) (26) , . , , ( ) . (30) (240) -. , , . , . , - , - : [A]
- ,
[B] ( -) -. , / .
- . - , -
. , - . , -, - . 2000-2001 , : https://progress.upatras.gr/
2015-2016 , https://eadmin.math.upatras.gr/uni/upatras/math/index.jsp
2000-2014. - 1999-2000 , () / email [email protected], - . / - , --- . - , . . - . - , :
, - .
w w w . m a th . u p a tr a s . g r
34
( , -, ). , ( ) , , . , - . ( , , . . 36). .. , , . , , .. . . , - , .
, - 30 ECTS , - ( ). , - .
- 1 2 ( 30 ECTS ).
3 , , : (60) ECTS
, (65) ECTS
, (70) ECTS
, (80) ECTS
( ). , ECTS , : [1]
,
[2] ,
[3] , , .
, ECTS - , , , (1) .
3 8, 30 ECTS .
35
, . -, / . - (1) - ( ). . , , . , - : http://eudoxus.gr/. , . . , , -/ , .... ( - ). , . - ,
, .. - , , .. , Open eClass / . -
(13) - (3) (4) . - , . , - , , - . - . , , . , , . () , - . -
w w w . m a th . u p a tr a s . g r
36
. -, (1) . -, (. . 46) - ( , , , , , ..) , , - . , , . , , - , , , . . -: , , - , , .. - - . , , / / ,
, , . - , - . -, . - . (/- I), , . , , , - , - . , - . -, , . , . - , , .
37
/ , . - (.. ). -, - . - (0) (10), / . (5) . (20) . , , -. , . . , , , , . . , , - .
, . - ' , : -
( - ) -, , - (1) ( ) ECTS .
- (4) ECTS (6) .
, . - - , , - , . , , , . , - , . ,
w w w . m a th . u p a tr a s . g r
38
, - . , , - . - - - , , - . - , -, , - . , - , , , - , .
: ,
.
- , .
: ,
, .
.
, .
, :
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, - -.
.
.
, - , / .
39
, , : 240 ECTS, , , (36) , : (19) ,
138 ECTS. (17) , -
102 ECTS, - (1) (5) - : [A]
, - , - - - -, , 17 8 () - . 9 , -, .
[B] , 17 8 () - , : (i) 5 ,
, ,
(ii) 3 , , ( ) .
9 ,
/ -, .
, (35) , , - 8 9 (19 + 8 /- + 7 + ). T (2) . : (8,50) (10), (6,50) (8,49) (5) (6.49). , - (5) :
1
1
B =
N
i ii
N
ii
=
=
,
Bi (5) (i = 1, 2, , ), i (i
= 1, 2, , ). - : (i) 3 - 4 - , 1.5, (ii) 4 , 2.0, (iii) ( ) 3.0. , - 63.5 ( ).
w w w . m a th . u p a tr a s . g r
40
. . () , , - , , . , - , - , . . ( - ), , , , -: (i) ( ). (ii)
/ ( ).
(iii) (). (iv) ( ). (v) ()
/ ( ). (vi)
( - , , 240 ECTS ).
, , , . , . -. , .
( ) , ( ), , ( ), :
- - (:
41
- 60 ECTS).
( , ), - - , - .
- 60 ECTS, , - .
, , , , , , .
( ) - , , , ..).
(DIPLOMA SUPPLEMENT) - Diploma Supplement (DS) . , .
- , , - , , . - , . - . - (, , ..). -. , . . , . 2011-12 , .
(.. 50/2001, - ), / ) , ) - ) .
w w w . m a th . u p a tr a s . g r
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, , , , - , /. .. 3/24.11.2014 - / - 2011-12 :
FORTRAN. PYTHON. . . -.
(17) : (i) (5) ,
. (ii) (2)
( / ),
(iii) (1) ( ).
2015-16 -
: (4 .), (7 .), - (8 .), - (8 .).
: - - (7 .), - - (8 .).
: -, , .
:
, - 7 .
- . 31 ( 4) -: . 25-28 ( 2, 2, 2 2) .
.. , - , , - , , - :
2011-12 , - - 19 . .
2011-12 ,
43
, - (7) ECTS .
2010-11 , - 2015, ( ) 2012-13, 2013-14, . , / ECTS , .
2010-11 , - 2015, - ( ) - 2012-13, - 2013-14, .
2011-12 , ( ) .
2014, , - -.
2014, , FORTRAN. , 2014,
, - FORTRAN.
2014, , PYTHON. , 2014, -, - PYTHON.
, , . - 2015-2016, - ( ).
w w w . m a th . u p a tr a s . g r
1 2
// ECTS // ECTS 1. 3/2/0 7 1. Python 3/1/1 7
2. 3/2/2 8 2. 3/2/0 8
3. FORTRAN
3/0/2 7 3. 3/2/0 8
4. 3/2/2 8 4. 3/2/0 7
3 4
// ECTS // ECTS
1. 3/1/1 7 1. 3/2/0 6
2. 3/2/0 8 2. IV 3/2/0 6
3. 3/2/0 8 3. 6
4. 3/2/0 7 4. 6
5. 6
45
5 6
// ECTS // ECTS 1. 3/2/0 7 1. 3/2/0 6
2. 3/2/0 7 2. 6
3. 3/2/0 8 3. 6
4. 3/2/0 8 4. 6
5. 6
7 8
// ECTS // ECTS
1. 6 1. 6
2. 6 2. 6
3. 6 3. 6
4. 6 4. 6
5. 6 5. 6
( , / ) . 39 . . 95 99, . 46 50.
(5) (4).
w w w . m a th . u p a tr a s . g r
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1
ECTS PM101 3 2 6 7 :
: PM102 3 2 6 8 :
: IC102
FORTRAN 3 2 5 7 :
: PM103 3 2 6 8 :
:
2
ECTS IC101 Python 3 1 1 5 7 :
: PM104 3 2 6 8 :
:
PM105 3 2 6 8 : :
IC103 3 2 5 7 : :
47
3
ECTS
IC204 3 1 1 5 7 : :
ST201 3 2 5 8 : :
PM106 3 2 5 8 : :
AM201 3 2 5 7 : :
4
ECTS
PM207 3 2 5 6 : :
AM202 IV 3 2 5 6 EA : :
PM231 2 2 4 6 AM231
2 2 4 6
AM232 2 2 4 6 ST231 2 2 4 6 -
IC231 2 2 4 6 IC232 2 2 4 6 IC233
2 2 4 6 -
DI231 2 2 4 6 - PM261* 2 2 4 6 --- --- --- 09263 () 4 4 6
() 4 4 6 () 4 4 6 () 4 4 6
w w w . m a th . u p a tr a s . g r
48
5
ECTS PM308 3 2 5 7 :
: AM303 3 2 5 7 :
: PM309 3 2 5 8 :
: ST302 3 2 5 8 : /
:
6
ECTS PM310 3 2 5 6 :
: PM332 2 2 4 6 PM333 2 2 4 6 - AM333 2 2 4 6
ST332 2 2 4 6 ST333 2 2 4 6 - IC335
2 2 4 6
AM262 2 2 4 6 AM263 2 2 4 6 DI361 2 2 4 6
DI362* 2 2 4 6 --- --- --- ST361 2 1 1 4 6 IC362 2 2 4 6
49
7
ECTS
PM434 2 2 4 6 PM435 2 2 4 6 PM436 2 2 4 6 PM437 2 2 4 6
AM434 2 2 4 6 AM435 2 2 4 6 AM436 2 2 4 6 DI432 2 2 4 6
DI463 2 2 4 6 ST434 2 1 1 4 6 ST435 2 2 4 6 ST436 2 2 4 6
IC334 2 2 4 6 IC336 2 2 4 6 IC437 2 2 4 6
PM462* 2 2 4 6 --- --- ---
PM463 2 2 4 6 AM464 2 2 4 6 AM465 2 2 4 6 AM466 2 2 4 6
ST462 2 2 4 6 . - . ST463 2 2 4 6 / IC468*
2 2 4 6 --- --- ---
IC463 2 2 4 6 IC469* 2 2 4 6 --- --- --- IC361 2 2 4 6 09461 - 2 2 4 6
w w w . m a th . u p a tr a s . g r
50
8
ECTS
PM438 2 2 4 6 AM437 2 2 4 6 AM438 Fourier,
2 2 4 6
DI434
2 2 4 6 -Downs
ST437 2 2 4 6 ST438 2 2 4 6
IC438 2 2 4 6 . - PM464 2 2 4 6 AM469 2 2 4 6 AM468 2 2 4 6
AM467 2 2 4 6 DI465 2 2 4 6 ST464 2 2 4 6 ST465 2 2 4 6
IC464 2 2 4 6 09462 - 2 2 4 6 11461 8 12
--- (*) 2015-2016. ---
--- 93. ---
51
1 PM101 . . . - ( Gauss), . - . - (, ). . - (, ). . .
PM102
, , . , - . . . , . -, , . , , - , , : mod n, . , : , . , , , , . . : , , , , . -: NN, , - .
IC102 FORTRAN
. /. . FORTRAN 90: /,
, , - , . : UNIX Microsoft Windows, Microsoft Office . FORTRAN 90.
PM103 : , , , . . : , , , , , , - , . , . ( , , , Rolle, , Darboux.
2 IC101 Python , . Python, , , , , , . -: , . Matlab (Octave): - . : Python Matlab (Octave). TeX-LaTeX.
PM104 : , , -, ,
w w w . m a th . u p a tr a s . g r
52
, (rank) . (, , ). , - Gram-Schmidt, , , -, , . (LU, QR).
PM105 . : , , , . (, , , , ). . : , , Taylor-Maclaurin.
IC103 : . - , . -. . . . . . . - . . : . . . , , . -. . --. . : . . . . . Euler, Hamilton. Euler. . - . Kuratowski.
. . . . . - . -.
3 IC204 (, ). ( , , , -, ). ( , Lagrange). ( , ). - ( Newton-Cotes, - ). - (: , , , Newton-Raphson). Norms (norms , norms , ). - (: Gauss, Jordan, , Jacobi, Gauss- Seidel).
ST201 . -, . , , , - . . .
53
. , Bayes. -. , . , , , , . Tschebichev.
PM206 . ' . . . . . . - . . . Schwarz. , . - . f(x, y). Taylor, f(x, y). -. Lagrange. . , , , -, , , . , , ( -).
AM201 . : , x y, , - Euler, , Bernoulli Riccatti. , . - . . , . Euler. . .
4
PM207 (, , Lagrange, -, ). . . Cayley. , . - , . , , - . - . . , . , maximal . - . , . - . . Gauss .
AM202 IV ' . -. . - . . . . - . . -. . - Green. , , . . Stokes Gauss. . , , , Gauss.
PM231 (SVD). , , , Sylvester. -, , , -
w w w . m a th . u p a tr a s . g r
54
, , . , , Jordan. ( ). ( ), o , . - - - .
AM231
-. : , , , Taylor, Fourier. : - . : , , , Jordan. -: , . .
AM232 . -. ( , , ). . . Sturm - Liouville. Laplace - . , - .
ST231 . . - , . -, . . -. . - . , , . . . . ( , ). .
IC231 . , - . . . , . - - . . -. . , . . / . - -. , . . -
55
. . - . , . . () .
IC232 C++. -, , -, , , , , , , , , , . C++: , , , , , , , , -, . .
IC233
: . - . . : , . - . . . , , - (Datalog Prolog). : . . . -. Myhill-Nerode. - . . . . -
. . Turing. - Turing. . . .
DI231 . , , . , , , . , - . , -, , . . . , , . - , - . , , . . -.
PM261 (, , ). ( , -, - -, , ). (, - ). (, -, ). - ( -, ). -.
09263 () (Geometry, Algebra
w w w . m a th . u p a tr a s . g r
56
and Arithmetic, Functions and their properties, elementary Statistics and Probability, Logic). -. , , , .
5 PM308 , , - , Frenet, , , , , , , , -, , , , , , Gauss, ( Weingar-ten), , , Euler, Gauss, , (Theorema Egregium).
AM303 : -. -. -. - ( ). ( ). - . , . , , .
: , Kning. : . . , , . (, , , ). . . : . . Chasles-Euler. Sylvester. . Euler .
PM309 x n: , , , , , , , , Baire, Lipschitz, . , , -, , -. Lebesgue Riemann. Fourier.
ST302 , . . , , . Cramr - Rao Fisher. , , . - . Basu, . (X2, t, F). - . , . Bayes minimax. , . . .
57
6 PM310 . - . . . . ( , , . ( -, Cauchy, , Cauchy, , , - ). ( , Taylor, Laurent).
PM332 . . . . - ( , , ). . . . Hausdorff, , . , , -. Moore - Smith. . . . . . - . .
PM333 , (), - , - , , Meusnier, ,
, , Christoffel, , , Gauss-Bonnet (- -).
AM333 : . - . . -. Michelson Morley. : Einstein -. Lorentz. , . . Minkowski. . : . Doppler. - : . - . - = mc2. / : : Maxwell. . - .
ST332 . - . . . Simplex. . . - : , . .
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58
ST333 - . , , . . Neuman-Pearson. - . -. (-) . . () . z, t, ( ), q, F. p (p-value) . q- ( ), . Kolmogorov-Smirnov .
IC335
. - . . - . Taylor. Runge-Kutta. . . - Adams-Bashforth. - . Adams-Moulton. . - - . . . . Numerov. . . . . -. . . .
AM262 . . . . . . Euler-Lagrange. -
Legendre. Hamilton Poisson. . . -. Liouville. Hamilton-Jacobi. -.
AM263 Fredholm Vol-terra . . , Volterra, , Laplace. .. Fredholm 2 ( , Fredholm). .. Fredholm ( Green Sturm Liouville). Fredholm. Hil-bert - Smith ( ). ( .. Vol-terra, .. Fredholm, ..).
DI361 , , , . , -. Boole. . , , . - , , . , . , . - .
59
DI362 : . . , . , , . , 19 20 . -. a-priori . ST361 . () . - Monte Carlo. . Poisson. . . - . ( Markov chain Monte Carlo). . IC362 . . . . - . . . . BCD -. Boole. . . . - . . . , , . . , , . , -, -. . . . . -. . . -. Assembly.
7 PM434 . . . Sylow. - . . . . - . Galois.
PM435 . ( ). - . .
PM436 - , Borel. . , , . Lebesgue , -Hahn. Lebesgue (/ . Riemann Lebesgue. - , Egoroff. , - . -. Lp. Holder Minkowski. . Lp. , Randon-Nikodym. M Fubini. E- .
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PM437 Boole . . - . . . . Cantor-Berstein. , Dedekind, Cauchy, . . . - . . ( , - , , , -, - -). , Zorn Zermelo. . . : Cantor, Borel, Baire ..
AM434 . . -: . Poincar-Bendixson . Peixoto. Floquet. , Painlev.
AM435 , Hilbert. -, Dirac, Green. , , , . , , . . -, , -. ,
, . . Heisenberg, . -, , , , , .
AM436 , . - . , . , , Green. . , . . - . , .
DI432 . : . -. , . . . - & . . . . /. .
DI463 . , - . -
61
. - . - . . ( - - - - - ). -. (formal logic) . : , , , .
ST434 . . , - . Gauss - Markov - . , . . . . . . . .
ST435 (i) . - , . ( PERT/CPM, , - , ). (ii) . , . . . . (iii) - . ( Nash, ).
ST436 . . . , Chapman-Kolmogov. ( -) - ( ). . - , , - , . . . . - , , . . . . , Kolmogorov, . Poisson, -o. - .
IC334 , (: LU, LDLt, Choleski), - (: LU, SOR, Crout). Jordan. : ( - ), Sturm, (Jacobi, Givens, Householder, LR QR). , - .
IC336 : -. . (arrays) . . (abstract data types). - . : , , -
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62
(, -, ), . . (searching) . 2-3 AVL . (sorting): (Mergesort), (Heap-sort), Qiucksort. UNION-FIND .
IC437 . . - (interrupts). (). (process). . - - . . Dekker. , monitors. . . - . . . , /- . . , -. - . . : UNIX.
PM462 . , - . , . , . .
PM463 . . . . . . -. . - n. n. 1-
2- n. . . . -. . . - . 1- .
AM464 , . - Bessel . - . Bessel . . Bessel. Lommel. Bessel. Fourier-Bessel. . . Darboux-Christofell. - . Rodrigues. . .
AM465 . . . . . - . . . - . - . . Lissajous. - 12. v0, 3v0=1. . . . - . -. .
63
. . . . . ning. . . . . . - .
AM466 (, , , , . ). ( , , , Pascal. ). ( , , , - , . ). (, , . -). ( , , . ). ( Euler, Bernoulli, Lagrange. ).
ST462 . , . . . -. - . . . - . .
ST463 . (- , McNemar, Cox and Stuart). ( Wilcoxon , - Mann-Whitney, Kruskal-Wallis). . ( Spearman, Kendall). ( Kolmogorov-Smirnov, Lilliefors ). . . . .
IC468
(, ). : , , , -, .. - ( Matlab, Python-Sage, Mathematica Maple).
IC463
. . - . . Stenger Kearfott. Kronecker Picard. . . Brouwer Miranda. . Knaster-Kuratowski-Mazurkiewicz. Scarf-Hansen.
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Sperner. . Scarf. . . - Newton, Newton, , Broyden. Successive Overrelaxation (SOR), Gauss-Seidel Jacobi. . .
IC469 . , , . - , . . - . (indexing) - (hashing). . . SQL. . (.. Oracle Access). - . . . . . . .
IC361 . Ada, Ada (tasks, - rendezvous, protected objects). . , -. X C++ ( , try blocks, , ). Ada (- , , -, when blocks, , - ). . - ( -, , ). -
Common LISP ( , , , , , , , , , ). .
09461 - . . - . . , . . . To . . , . . . . . , . -. . , , . . . . -. . . . . . . . , . . . . . . . . , . . . 1. . 2. -
. 3. , -
. 4.
.
65
5. , Vaisala.
6. - (). . .
7. , , , .
8. , -, , , .
8 PM438 Lp: Hlder Minkowski. norm p [1, ). - Lp. F. Riesz. Lp. Banach: . norm. . . . - Hahn-Banach, , , Banach-Steinhaus. . Hilbert: . Cauchy- Bunia-kovsky-Schwarz. H = M M . . - F. Riesz.
AM437 Banach. Hilbert. . Hilbert. , , . - . . - . (, , -, , , , ..). . . , . .
AM438 Fourier, E
. - n = 1, 2, 3 . (, , - ..) Laplace, Poisson, , Helmholtz. - , . , . - .
DI434
(Problem Solving). - . . - . . (Problem Posing). .
w w w . m a th . u p a tr a s . g r
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ST437 . . : . . - . .
ST438 . -: , , . K- . . -. . - : , , , . - , , Neyman. . . (, , ..), ( , ). - , Horvitz-Thompson, -, .
IC438 - - , . , -. -. Greedy. . : Kruskal Prim. : . - . Matching . : -
. . -: Dijkstra, Bellman-Ford, DAG (Directed Acyclic Graphs). . . . Turing. Turing. . ( - ) . P NP. . NP-. Cook. NP- ( , ).
PM464 (, , Maximal , - ..). , Noether, , , , Dedekind - . , Hilbert (Nullstellensatz).
AM469 . . - . -. ( ). . ( ) - . Lagrange Hamilton - . .
AM468 . . . Lie. . .
67
AM467 () . . : (1) , (2) (3) . (renormalization) - Feigenbaum. Hnon Lorenz. (fractals), Hausdorff. , Smale. - (multifractals) -. - , , , .
DI465 . , . . . . . , , . - ( , ). . . . . . . : .
ST464 -, . , . , . - . : , , - , . - .
ST465 : , - . -, PASTA, Little. - . //1/1 : , , -. //k , . //1 , M/M/k -, M/M/1/1 . Erlang . . , , Jackson. . - . M/G/1 , -, . . . G/M/1. .
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IC464 . - . . (floating point arith-metic). . - . - . . . . . . . : INTLIB. GlobSol (Global Solution), Fortran 90, C-XSC ( C++ eXtended Scientific Computation), C++.
09461 - : H . . ( Rayleigh), - ( Mie). - Chapman. (ideal atmosphere). - (real atmosphere). . , . . . . : - . To . -. . . - , . : -. . -
(aerosols) - . , . : . . . . -: - Chapman. . . . . 1.
.
2. . .
3. ( Linke-Feussner).
4. . 5.
.
6. - .
7. .
8. .
9. .
69
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. , . , , . 1 . 30 , , . , , . , - . , - o . , . - , , -, - . . , -
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) , - ERASMUS+. , & , - . -. . , 4-5 , . - , https://www.upatras.gr/el/erasmus. - , . ( , ). - , . - . 30 - ECTS. - , 30 ECTS 5-6 . , - ( -
) . , ECTS , , - (: ). , - .. Erasmus. , - . . Erasmus+ , 350-400 . , 200-300 . .. , . . . , , & . (. . email: [email protected] .
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, , . . - (..). - ( ) . .. (..) , . .. , , .. - .. : AEGEE (Association des Etats Generaux des Etudiants
de L'Europe) -, , -, - . , . 1985 - , 13.000 200 . 1998 , , , . (Summer Universities), AEGEE-Patra. www.aegee.upatras.gr www.aegee.org.
AIESEC - , . 111 2100 75.000 . AIESEC , . - http://upatras.aiesec.gr/
-
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/ / / ECTS , - , - ,
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-
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AM: 01-30: DI: ., . 31-60: IC: . 61-99: ST: - , .
PM: 09: ( )
11:
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1
ECTS
PM101 3 2 6 7 PM102 3 2 6 8 IC102
FORTRAN 3 2 5 7
PM103 3 2 2 6 8
2
ECTS
IC101 Python 3 1 1 5 7 PM104 3 2 6 8
PM105 3 2 6 8 IC103 3 2 5 7
3
ECTS
IC204 3 1 1 5 7 ST201 3 2 5 8
PM106 3 2 5 8 AM201 3 2 5 7
w w w . m a th . u p a tr a s . g r
4
ECTS
PM207 3 2 5 6 AM202 IV 3 2 5 6 EA PM231 2 2 4 6 AM231
2 2 4 6
AM232 2 2 4 6 ST231 2 2 4 6
IC231 2 2 4 6 IC232 2 2 4 6 IC233
2 2 4 6
DI231 2 2 4 6 PM261* 2 2 4 6 09263 () 4 4 6
() 4 4 6
() 4 4 6 () 4 4 6
5
ECTS
PM308 3 2 5 7 AM303 3 2 5 7
PM309 3 2 5 8 ST302 3 2 5 8
97
6
ECTS
PM310 3 2 5 6 PM332 2 2 4 6 PM333 2 2 4 6 AM333 2 2 4 6
ST332 2 2 4 6 ST333 2 2 4 6 IC335
2 2 4 6
AM262 2 2 4 6 AM263 2 2 4 6 DI361 2 2 4 6
DI362* 2 2 4 6 ST361 2 1 1 4 6 IC362 2 2 4 6
w w w . m a th . u p a tr a s . g r
7
ECTS
PM434 2 2 4 6 PM435 2 2 4 6 PM436 2 2 4 6 PM437 2 2 4 6
AM434 2 2 4 6 AM435 2 2 4 6 AM436 2 2 4 6 DI432 2 2 4 6
DI463 2 2 4 6 ST434 2 1 1 4 6 ST435 2 2 4 6 ST436 2 2 4 6
IC334 2 2 4 6 IC336 2 2 4 6 IC437 2 2 4 6
PM462* 2 2 4 6
PM463 3 1 4 6 AM464 2 2 4 6 AM465 2 2 4 6 AM466 2 2 4 6
ST462 2 2 4 6 ST463 2 2 4 6 IC468*
2 2 4 6
IC463 2 2 4 6 IC469* 2 2 4 6 IC361 2 2 4 6
09461 - 2 2 4 6
99
8
ECTS
PM438 2 2 4 6 AM437 2 2 4 6 AM438 Fourier,
2 2 4 6
DI434
2 2 4 6
ST437 2 2 4 6
ST438 2 2 4 6 IC438 2 2 4 6
PM464 2 2 4 6 AM469 2 2 4 6
AM468 2 2 4 6 AM467 2 2 4 6 DI465 2 2 4 6 ST464 2 2 4 6
ST464 2 2 4 6 IC464 2 2 4 6 09462 - 2 2 4 6 11461 8 12
--- (*) 2015-2016. ---
--- 93. ---
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. 2610/99-7372 [email protected] / 242 2610/99-6737 [email protected] / 234 2610/99-6740 [email protected] / 316 2610/99-7457 [email protected] / 341 2610/99-7391 [email protected] / 358 2610/99-7374 [email protected] / 241 2610/99-7404 [email protected] / 117 2610/99-7332 [email protected] / 243 2610/99-6774 [email protected] / 232 2610/99-6752 [email protected] / 350 2610/99-7165 [email protected] / 146 - 2610/99-7176 [email protected] / 118 2610/99-7347 [email protected] / 237 2610/99-7425 [email protected] / 123 2610/99-7177 [email protected] / 344 2610/99-6751 [email protected] / 320 2610/99-7386 [email protected] / 317 2610/99-6739 [email protected] / 215 2610/99-6769 [email protected] / 252 2610/99-7131 [email protected] / 346 2610/99-7331 [email protected] / 240 2610/99-6738 [email protected] / 233 -Downs 2610/99-6741 [email protected] / 143 2610/99-7328 [email protected] / 315 2610/99-6318 [email protected] / 222 2610/99-7837 [email protected] / 360 2610/99-6776 [email protected] / 119 2610/99-7360 [email protected] / 122 2610/99-6745 [email protected] / 214
-
101
. 2610/99-7166 / 356 2610/99-7285 [email protected] / 213 2610/99-7836 [email protected] / 339 2610/99-6175 [email protected] / 142 2610/99-7149 [email protected] / 348 2610/99-7395 [email protected] / 343 2610/99-7834 [email protected] / 116 2610/99-6757 [email protected] / 359 2610/99-7492 [email protected] / 216
/
. 2610/99-7476 [email protected] 2610/99-7703 [email protected] 2610/99-7705 [email protected] 2610/96-9614 [email protected] 2610/99-7704 [email protected]
. 2610/99-6735 [email protected] / 152 - 2610/99-6749 [email protected] / 152 2610/99-6762 [email protected] / 152 2610/99-6748 [email protected] / 152 2610/99-6750 [email protected] / 152 2610/99-6736 [email protected] / 152 ( )
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()
. 2610/99-7379 [email protected] / 35 2610/99-7379 [email protected] / 35
. [email protected] , 20 [email protected] ., 20 [email protected] , 20 [email protected]
- 2610/997379 http://support.math.upatras.gr & 2610/969620, 2610/969621 http://www.lis.upatras.gr 2610/992359, 2610/992361 UPnet 2610/962600, 2610/969651 http://www.upnet.gr/
2610/996380 http://inaos.upatras.gr/ 2610/996678, 2610/996679 http://www.cais.upatras.gr/ & () 2610/969057 http://dasta.upatras.gr/ 2610/993055, 2610/994262 http://gym.upatras.gr/
( ) 2613/603000 http://www.pgnp.gr
URL , http://www.upatras.gr http://www.math.upatras.gr /
Forum & https://my.math.upatras.gr ( 2015-16 )
https://progress.upatras.gr/
https://eadmin.math.upatras.gr/uni/upatras/math/index.jsp ( & )
http://lcsa.math.upatras.gr / 35 - / 40 / 15 - / 145
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